The inverse electromagnetic scattering problem by a penetrable cylinder at oblique incidence

Figures & data

Figure 1. The geometry of the scattering problem.

Figure 2. Reconstruction of a peanut-shaped boundary for two incident fields, frequency $\mathit{\omega }=2.5,$ for exact data (left) and data with $5\%$ noise (right).

Figure 3. Reconstruction of a peanut-shaped boundary for four incident fields, frequency $\mathit{\omega }=2.5,$ noisy data ($5\%$ noise), with initial guess $r_0=0.6$ (left) and $r_0=1$ (right).

Figure 4. Reconstruction of a peanut-shaped boundary for four incident fields, $m=5$ coefficients, frequency $\mathit{\omega }=2,$ for exact data (left) and data with $3\%$ noise (right).

Figure 5. Reconstruction of an apple-shaped boundary for four incident fields, frequency $\mathit{\omega }=3,$ exact data, with initial guess $r_0=0.5$ (left) and $r_0=1$ (right).

Figure 6. Reconstruction of an apple-shaped boundary for four incident fields, frequency $\mathit{\omega }=3,$ data with $3\%$ noise, for three (left) and four (right) incident fields.

Figure 7. Reconstruction of a peanut-shaped boundary for two incident fields (left) and an apple-shaped boundary for four incident fields (right). Here, we use $\mathit{\theta }=\mathit{\pi }/10,\mathit{\omega }=7$ and data with $3\%$ noise.